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The fact still remains that you have not been able to give me a mechanism by which the charge carriers accelerate when the magnetic field is switched on
We did give you the intuitive arguments here. The rigorous approach to this problem is given in the book by Rickayzen. So, I did give you the correct arguments but it is not possible to write it down here.

Your debating tactics are to attack theories on subtle points. This then makes sense to lay persons. To understand in detail why your arguments are wrong requires knowledge of more advanced methods of theoretical physics.